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Is there any way to optimize the shape of a spline to best-fit to data points for an airfoil?

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Im trying to reverse engineer an airfoil and I was wondering if there is any way to optimize the shape of a spline to best-fit to data points while maintaining curvature smoothness? i.e. ideally the curvature combs only flow in one direction. I could just fit the spline control points to the data points but then Im introducing error from reverse engineering etc. and I will end up having a jagged/wavy spline. 


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